CN102174957A - Plastic bevel gear - Google Patents

Plastic bevel gear Download PDF

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Publication number
CN102174957A
CN102174957A CN2011100540256A CN201110054025A CN102174957A CN 102174957 A CN102174957 A CN 102174957A CN 2011100540256 A CN2011100540256 A CN 2011100540256A CN 201110054025 A CN201110054025 A CN 201110054025A CN 102174957 A CN102174957 A CN 102174957A
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China
Prior art keywords
helical gear
line segment
base cylinder
engagement side
curved surface
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CN2011100540256A
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Chinese (zh)
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李秀莲
王贵成
赵景波
朱福先
王志
周金宇
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Jiangsu University of Technology
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Jiangsu University of Technology
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Abstract

The invention provides a plastic bevel gear which has the characteristics that not only can the fatigue strength resistant of a tooth root be improved, but also the impact-resistant property is not influenced. For the formation of an non-meshed side tooth profile curved surface, a first base cylindrical surface of the bevel gear is drawn up with the radius of a line segment rbc; a first generating plane is tagent to the first base cylindrical surface; an included angle between a first line segment on the first generating plane and the axis of a first base cylinder is beta bc, when the first generating plane performs pure rolling without sliding along the first base cylindrical surface, the track of the first line segment is an non-meshed side tooth profile curved surface; for the formation of a meshed side tooth profile curved surface, a second base cylindrical surface of the bevel gear is drawn up with the radius of a line segment rbd, wherein rbc/rbd=1-1.36; and when a second generating plane is tangent to the second base cylindrical surface, a second line segment MM on the second generating plane and the axis of the second base cylinder form an included angle beta bd, and when the second generating plane performs pure rolling without sliding along the second base cylindrical surface, the track of the second line segment is a meshed side tooth profile curved surface. According to the invention, different moduli are adopted for each part of the gear, and a design method of modification coefficients is used.

Description

Plastics system helical gear
Technical field
The present invention relates to the technical field of design of gears, specifically is a kind of plastics system helical gear.
Background technique
Advantages such as gear transmission is big because of power, efficient is high, the life-span is long, and extensively answered in each mechanical transmission mechanism.The quality of its performance and quality finally has influence on the quality height of machine, therefore, for adapting to the fast development of big production of modernization and science and technology, requires gear-driven performance to continue to optimize.Especially since nearly many decades,, remarkable progress has been arranged all in each side such as gear meshing theory, bearing capacity calculating and test, vibration and noise, new gear transmissions.
Since 20th century, developed fiber nylon the thirties, plastic gear had obtained using widely.Plastic gear is compared with metal gear, friction is little, in light weight, noise is low because of having, corrosion-resistant, to advantages such as machining error are insensitive.Every field such as automobile, instrument and apparatus, weaving, printing and dyeing, papermaking, food now have been widely used in.
Gear teeth shape not only has influence on the kinetic characteristic of gear pair, also has influence on the dynamic property of gear pair.Studies show that, increase pressure angle and can improve plastic gear tooth root fatigue resistance.If but increase the pressure angle of gear both sides simultaneously, and will cause the tooth top attenuation, promptly the shock resistance of the gear teeth will descend.
Summary of the invention
Technical problem to be solved by this invention provides a kind ofly can improve the tooth root fatigue resistance, do not influence the plastics system helical gear of its shock resistance substantially again.
For solving the problems of the technologies described above, the invention provides a kind of plastics system helical gear, be characterized in:
The formation of helical gear non-engagement side flank profil curved surface: with line segment r BcBe radius helical gear first base cylinder that draws, and exist the first generating plane Q and first base cylinder tangent, the angle of the first line segment KK on the first generating plane Q and the axis of first base cylinder is β Bc≠ 0, when the first generating plane Q when first base cylinder is done nonslipping pure rolling, the track of the first line segment KK is helical gear non-engagement side flank profil curved surface;
The formation of helical gear engagement side flank profil curved surface: with line segment r BdFor radius is made helical gear second base cylinder, wherein, r Bc/ r Bd=1～1.36; And exist the second generating plane P and second base cylinder tangent, the angle of the second line segment MM on the second generating plane P and the axis of second base cylinder is β Bd≠ 0, when the second generating plane P when second base cylinder is done nonslipping pure rolling, the track of the second line segment MM is helical gear engagement side flank profil curved surface.
The present invention has positive effect:
(1) the present invention proposes to adopt different pressure angles in the both sides of the plastics system helical gear gear teeth, promptly with respect to prior art, only increase the pressure angle of engagement side, thereby guaranteed addendum thickness as far as possible, so when realizing improving the tooth root fatigue resistance, do not influence the shock resistance of gear substantially; In addition, gear each several part of the present invention is got different moduluses, and uses the design method of modification coefficient.Compare with existing plastics system involute helical gear, gear of the present invention has advantages such as the bearing capacity of raising, reduced volume, weight reduction, life-saving.Compare with existing metallic involute helical gear, gear of the present invention have moulding easy, corrosion-resistant, the vibration little, low noise advantages.Because plastic gear is widely used in industries such as household electrical appliances, automobile, instrument, market prospects are wide, and this invention has huge social and economic benefit.
(2) the helical gear characteristics of plastics system of the present invention are: i) engagement side standard pitch circle transverse pressure angle, non-engagement side standard pitch circle transverse pressure angle, engagement side standard pitch circle normal pressure angle, non-engagement side standard pitch circle normal pressure angle is respectively α 1t, α 2t, α 1n, α 2n, α 1n＞α 2n, α 1t＞α 2tIi) standard pitch circle normal module m 1nGreater than normal plane addendum modulus m 2nIii) gear has carried out the displacement processing.
(3) patent of the present invention is according to the generation characteristics of plastics system involute helical gear flank profil curved surface, characteristic in conjunction with variable pressure angle, the plastics system of providing variable pressure angle becomes the design philosophy of modulus displacement involute helical gear, and derives gear geometric parameter and size calculation formula.Gear teeth both sides flank profil pressure angle does not wait compared with prior art, and as shown in Figure 5, the flank profil both sides can reduce the volume and weight of gear when adopting the unequal pressure angle.
Description of drawings
Fig. 1 is the helical gear structural representation of plastics system of the present invention;
Fig. 2 is the helical gear profile of tooth figure of the plastics system among Fig. 1;
Fig. 3 is the generation schematic representation of the helical gear engagement side flank profil of the plastics system among Fig. 2 curved surface (also being the left side involute profile);
Fig. 4 is the generation schematic representation of the helical gear non-engagement side flank profil curved surface of plastics system (also being the right side involute profile) among Fig. 2;
Fig. 5 is the contrast schematic representation of helical gear profile of tooth 8 of plastics system of the prior art and the helical gear profile of tooth 9 of plastics system of the present invention.
Embodiment
See Fig. 1-2, the helical gear profile of tooth of the plastics system of present embodiment mainly comprises right flank (also being the right side involute profile) 7 and the tooth root 4 of left flank (also being the left side involute profile) 6, first base cylinder, 3 generations that tooth top 1, second base cylinder 5 generate.During working gear, the left flank 6 that pressure angle is big participates in engagement, and the right flank 7 that pressure angle is little does not participate in engagement.
The formation of helical gear non-engagement side flank profil curved surface: with line segment r BcBe radius helical gear first base cylinder that draws, and exist the first generating plane Q and first base cylinder tangent, the angle of the first line segment KK on the first generating plane Q and the axis of first base cylinder is β Bc≠ 0, when the first generating plane Q when first base cylinder is done nonslipping pure rolling, the track of the first line segment KK is helical gear non-engagement side flank profil curved surface.
The formation of helical gear engagement side flank profil curved surface: with line segment r BdFor radius is made helical gear second base cylinder, wherein, r Bc/ r Bd=1～1.36; And exist the second generating plane P and second base cylinder tangent, the angle of the second line segment MM on the second generating plane P and the axis of second base cylinder is β Bd≠ 0, when the second generating plane P when second base cylinder is done nonslipping pure rolling, the track of the second line segment MM is helical gear engagement side flank profil curved surface.
Helix angle on the helical gear number of teeth, the calibration cylinder, standard pitch circle transverse module, standard pitch circle normal module, engagement side standard pitch circle transverse pressure angle, non-engagement side standard pitch circle transverse pressure angle, engagement side standard pitch circle normal pressure angle, non-engagement side standard pitch circle normal pressure angle are respectively: z, β, m 1t, m 1n, α 1t, α 2t, α 1n, α 2n
The value of z meets the velocity ratio requirement;
β selects as required, best value β=8～20 of implementing °;
m 1nValue size according to " gear handbook (China Machine Press, 2004-2 the 2nd edition, No. the 09768th, Chinese depository library CI P digital core word (2000)) is chosen or made by oneself as required;
m 1t=m 1n/ cos β millimeter;
α 1t=atan (tan α 1n/ cos β) degree;
α 2t=atan (tan α 2n/ cos β) degree;
α 2n=14 °～29 °, as the mode of execution of optimum, α 2n=20 °;
α 1nUnder the prerequisite that satisfies the strength of gear teeth and gear teeth shock resistance, value as required, and satisfy: 45 °＞α 1n＞α 2n
The radius of described second base cylinder
Figure BDA0000049127440000041
Millimeter, wherein: d is helical gear standard pitch diameter,
Figure BDA0000049127440000042
Millimeter.
Described β Bd=atan (tan β cos α 1t), and 0＜β Bd＜90 °.
The radius of described first base cylinder
Figure BDA0000049127440000043
Millimeter.
Described β Bc=atan (tan β cos α 2t), and 0＜β Bc＜90 °.
The normal plane tip clearance coefficient of the normal plane tip clearance coefficient of the normal plane addendum coefficient of the normal plane addendum coefficient of described engagement side flank profil curved surface, non-engagement side flank profil curved surface, engagement side flank profil curved surface, non-engagement side flank profil curved surface is respectively
Figure BDA0000049127440000044
Then
Figure BDA0000049127440000045
Figure BDA0000049127440000046
Figure BDA0000049127440000047
Figure BDA0000049127440000048
Helical gear standard pitch circle normal plane transverse tooth thickness, transverse tooth thickness are respectively s n, s t
Then:
Figure BDA0000049127440000049
Millimeter, Millimeter.
x nBe helical gear normal plane modification coefficient, x tBe helical gear end face modification coefficient, then x t=x nCos β, and
Figure BDA00000491274400000411
Helical gear tip diameter is d a,
Figure BDA00000491274400000412
In the formula: m 2nBe helical gear normal plane addendum modulus, normal plane addendum modulus equates with normal plane dedendum of the tooth modulus;
Helical gear root diameter is d f,
Figure BDA00000491274400000413
In order to improve the needs of the strength of gear teeth and installation, plastics system helical gear modification Coefficient Selection:
x n ≥ m 2 n h and * m 1 n - zm 1 t ( sin α 1 t ) 2 2 m 1 n
Compare with existing involute helical gear, can significantly improve bearing capacity and (studies show that: adopt large pressure angle as Surface of action, little pressure angle helical gear, can improve its intensity as non-Surface of action.), reduced volume, weight reduction (adopt gear that Surface of action and non-Surface of action pressure angle do not wait with respect to Surface of action equate with non-Surface of action pressure angle gear for, its flank of tooth narrows down, volume and weight diminishes naturally), increase the service life (intensity improve then life-span prolong), reduce vibration and noise (because vibration displacement when adopting the gear transmission that Surface of action and non-Surface of action pressure angle do not wait and dynamic load are all than having the little of gear now, thereby gear transmission time vibration and noise have also just reduced), market prospects are wide, have huge social and economic benefit.
Obviously, the above embodiment of the present invention only is for example of the present invention clearly is described, and is not to be qualification to embodiments of the present invention.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here need not also can't give exhaustive to all mode of executions.And these belong to conspicuous variation or the change that spirit of the present invention extended out and still are among protection scope of the present invention.

Claims (10)

1. plastics system helical gear is characterized in that:
With line segment r BcBe radius helical gear first base cylinder that draws, and exist first generating plane and first base cylinder tangent, the angle of first line segment on first generating plane and the axis of first base cylinder is β Bc≠ 0, when first generating plane when first base cylinder is done nonslipping pure rolling, the track of first line segment is helical gear non-engagement side flank profil curved surface;
With line segment r BdFor radius is made helical gear second base cylinder, wherein, r Bc/ r Bd=1～1.36; And exist second generating plane and second base cylinder tangent, the angle of second line segment on second generating plane and the axis of second base cylinder is β Bd≠ 0, when second generating plane when second base cylinder is done nonslipping pure rolling, the track of second line segment is helical gear engagement side flank profil curved surface.
2. plastics system helical gear according to claim 1 is characterized in that: the helix angle on this helical gear number of teeth, the calibration cylinder, standard pitch circle transverse module, standard pitch circle normal module, engagement side standard pitch circle transverse pressure angle, non-engagement side standard pitch circle transverse pressure angle, engagement side standard pitch circle normal pressure angle, non-engagement side standard pitch circle normal pressure angle are respectively: z, β, m 1t, m 1n, α 1t, α 2t, α 1n, α 2n
The value of z meets the velocity ratio requirement;
β＝8～20°；
m 1nValue size according to " the gear handbook is chosen or made by oneself as required;
m 1t=m 1n/ cos β millimeter;
α 1t=atan (tan α 1n/ cos β) degree;
α 2t=atan (tan α 2n/ cos β) degree;
α 2n＝14°～29°；
α 1nSatisfy: 45 °＞α 1n＞α 2n
3. plastics system helical gear according to claim 2 is characterized in that: the radius of described second base cylinder
Figure FDA0000049127430000011
Millimeter, wherein: d is helical gear standard pitch diameter,
Figure FDA0000049127430000012
Millimeter.
4. plastics system helical gear according to claim 3 is characterized in that: described β Bd=atan (tan β cos α 1t), and 0＜β Bd＜90 °.
5. plastics system helical gear according to claim 4 is characterized in that: the radius of described first base cylinder
Figure FDA0000049127430000021
Millimeter.
6. plastics system helical gear according to claim 5 is characterized in that: described β Bc=atan (tan β cos α 2t), and 0＜β Bc＜90 °.
7. plastics system helical gear according to claim 6 is characterized in that: the normal plane tip clearance coefficient of the normal plane addendum coefficient of the normal plane addendum coefficient of described engagement side flank profil curved surface, described non-engagement side flank profil curved surface, the normal plane tip clearance coefficient of described engagement side flank profil curved surface, described non-engagement side flank profil curved surface is respectively
Figure FDA0000049127430000022
Then
Figure FDA0000049127430000023
Figure FDA0000049127430000025
Figure FDA0000049127430000026
8. plastics system helical gear according to claim 7 is characterized in that: helical gear standard pitch circle normal plane transverse tooth thickness, transverse tooth thickness are respectively s n, s t
Then:
Figure FDA0000049127430000027
Millimeter,
Figure FDA0000049127430000028
Millimeter.
9. plastics system helical gear according to claim 8 is characterized in that: x nBe helical gear normal plane modification coefficient, x tBe helical gear end face modification coefficient, then x t=x nCos β, and
Figure FDA0000049127430000029
In the formula: m 2nBe helical gear normal plane addendum modulus, normal plane addendum modulus equates with normal plane dedendum of the tooth modulus.
10. plastics system helical gear according to claim 9 is characterized in that: helical gear tip diameter is d a, Helical gear root diameter is d f,
Figure FDA00000491274300000211
CN2011100540256A 2011-03-07 2011-03-07 Plastic bevel gear Pending CN102174957A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105605155A (en) * 2016-03-24 2016-05-25 江苏理工学院 High-strength low-vibration low-noise bevel gear drive mechanism
CN109595324A (en) * 2019-01-14 2019-04-09 常州雷利电机科技有限公司 Reduction gear box motor and its gear

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1063750A (en) * 1991-09-08 1992-08-19 赖登桂 Tooth wheel

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1063750A (en) * 1991-09-08 1992-08-19 赖登桂 Tooth wheel

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
李淑丽等: "渐开线斜齿圆柱齿轮变位系数极值研究", 《兰州工业高等专科学校学报》 *
柳建安等: "《机械设计基础》", 31 January 2008 *
王光建等: "变齿厚齿轮少齿差传动变位系数计算研究", 《中国机械工程》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105605155A (en) * 2016-03-24 2016-05-25 江苏理工学院 High-strength low-vibration low-noise bevel gear drive mechanism
CN109595324A (en) * 2019-01-14 2019-04-09 常州雷利电机科技有限公司 Reduction gear box motor and its gear

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